∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → ⦃G, L⦄ ⊢ ⬊*[h, g] T2.
#h #g #G #L #T1 #H elim H -T1 #T1 #HT1 #IHT1 #T2 #HLT12
@csx_intro #T #HLT2 #HT2
-elim (term_eq_dec T1 T2) #HT12
+elim (eq_term_dec T1 T2) #HT12
[ -IHT1 -HLT12 destruct /3 width=1/
| -HT1 -HT2 /3 width=4/
qed-.